428067840 has 264 divisors, whose sum is σ = 1463523120. Its totient is φ = 106659840.

The previous prime is 428067817. The next prime is 428067889. The reversal of 428067840 is 48760824.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13808625 + ... + 13808655.

Almost surely, 2^428067840 is an apocalyptic number.

428067840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731761560).

428067840 is an abundant number, since it is smaller than the sum of its proper divisors (1035455280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428067840 is a wasteful number, since it uses less digits than its factorization.

428067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 428067840 is about 20689.8003856973. The cubic root of 428067840 is about 753.6520192543.

The spelling of 428067840 in words is "four hundred twenty-eight million, sixty-seven thousand, eight hundred forty".